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Finding the Third Proportional to 130,680 and 286,266

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Solution

The third proportional to 130,680 and 286,266 is: 627,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,680 : 286,266 = 286,266 : x
  2. Step 2: Convert to fraction form
    130,680/286,266 = 286,266/x
  3. Step 3: Cross multiply
    130,680x = 286,266 × 286,266
  4. Step 4: Simplify right side
    130,680x = 81,948,222,756
  5. Step 5: Solve for x
    x = 81,948,222,756/130,680
  6. Step 6: Final answer
    x = 627,090.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.